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Simplifying 7 + -2k + 3 + 8k = 0 Reorder the terms: 7 + 3 + -2k + 8k = 0 Combine like terms: 7 + 3 = 10 10 + -2k + 8k = 0 Combine like terms: -2k + 8k = 6k 10 + 6k = 0 Solving 10 + 6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 6k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 6k = 0 + -10 6k = 0 + -10 Combine like terms: 0 + -10 = -10 6k = -10 Divide each side by '6'. k = -1.666666667 Simplifying k = -1.666666667
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